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Finding the Third Proportional to 55,167 and 119,081

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Solution

The third proportional to 55,167 and 119,081 is: 257,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,167 : 119,081 = 119,081 : x
  2. Step 2: Convert to fraction form
    55,167/119,081 = 119,081/x
  3. Step 3: Cross multiply
    55,167x = 119,081 × 119,081
  4. Step 4: Simplify right side
    55,167x = 14,180,284,561
  5. Step 5: Solve for x
    x = 14,180,284,561/55,167
  6. Step 6: Final answer
    x = 257,042.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.